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Finding the Fourth Proportional to 8,232.20, 12,348.38 and 3,549.24

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Solution

The fourth proportional to 8,232.20, 12,348.38 and 3,549.24 is: 5,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.20 : 12,348.38 = 3,549.24 : x
  2. Step 2: Convert to fraction form
    8,232.20/12,348.38 = 3,549.24/x
  3. Step 3: Cross multiply
    8,232.20x = 12,348.38 × 3,549.24
  4. Step 4: Simplify right side
    8,232.20x = 43,827,364.23
  5. Step 5: Solve for x
    x = 43,827,364.23/8,232.20
  6. Step 6: Final answer
    x = 5,323.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.